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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 136, page id 175906937X:0160
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=160
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30
DE L I N F F L B U 8
jor quam v. Deinde elt nt. L pt ∞ l. X 3 = m M X N, dc per conse.
mm
quens x major quam, PEXterCA eAtx L MMXKBL~-p
ac proinde xmajor quam Z, de x major quain V C. Z. Inveni-
musigitur, unamquam que duarum radicum a quationis proposi-
m m
ta majorem esse quam,  e V C. 7 ac minorem quam l.
ProP. 6. Xt + lX3 =MM XX  + p+ ∞0.
MM
Pertranspositionem est at - L pr DMm XX = l x3, ideoque
majus quamx. Deinde est lX3 f pr ∞ MmX X - xt, ac proinde
mmajor quam x. Praeterea eAt xt. L l x3 ∞ M M X N - p+, _ CON-
in y hoc est, a major quam. Inve
B
lequenter xx majus quam
nimus erso, unamquamque duarum radicum xquationis propo
m M
Prop. 7. X+ - lX3- MM XX X  p+ ∞ O.
Pertranspositionem habebius ~2 = L X3 ∞ MM XX =pt. UN.
de patet, six aequalis est ip(iL, iplam x quoque Fore aqualem ipsi
et
n; de per consequens, situerine termini l d  aequales, exit una
radicum aequationis propoliex aequalis singulis illorum; dt Sifue.
rint inaequales, neuera duarum radicum sequationis propolia
pocerit esse inter illos duos constituta. Fodem modo pertrans-
politionem est x+ =mmXx ∞ lX3 -p+. Unde imiliter constat,
Ituerit x xqualis ipsim, fore quoque x xqualem ipsi V C.; id.
eoque li aequales tuerint m ec V C. Z, una radicum aquationis
propolicae aequalis erit cuilibet horum terminorum a qualium; et
li fuerint inaequales, nulla radicum aequationis proDosIEx erit in-
ter illos duos constitura. Porro pertranspolitionem est quoque
xt L p+ ∞ lx3 + MM X X, UndC l x3  M M ∞ X IMajUS CTIE quaIm X
_Lx- Lmm ajus quamx x. Jam (i fuerit xquatio propolitarea-